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Matrix Calculators

Matrix Rank Calculator

Find the rank of a matrix — the number of linearly independent rows — by row reduction.

Enter values

Results update as you type.

Result

Rank

2

Size
3 × 3

About the Matrix Rank Calculator

Find the rank of a matrix — the number of linearly independent rows — by row reduction.

Also known as: rank of matrix, row rank, linear independence.

How to use this calculator

  1. Enter matrix a (rows on new lines).
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

rank = number of non-zero rows in echelon form

Worked example

Using the values pre-filled in the calculator above:

  • Matrix A (rows on new lines): 1 2 3 2 4 6 1 0 1

the calculator returns:

  • Rank: 2
  • Size: 3 × 3

Frequently asked questions

How do I enter a matrix?

Type one row per line, separating values with spaces or commas. You can also separate rows with semicolons: 1 2; 3 4.